题目

如图，抛物线y＝﹣ x2+2x+3与直线l交于A，B两点，点A是对称轴与x轴的交点． （1） 请直接写出A，B两点的坐标及直线l的函数表达式； （2） 如图①所示，P是抛物线上的一个动点，且位于第一象限，连接BP，AP，求△ABP的面积的最大值； （3） 如图②所示，在对称轴AC的右侧作∠ACD＝30°交抛物线于点D，求出D点的坐标；并探究：在y轴上是否存在点Q，使∠CQD＝60°？若存在，求点Q的坐标；若不存在，请说明理由．根据下列句子及所给单词的首字母填单词。1. His son is intended for the m__________ profession and wants to be a doctor.2. To be honest, I only eat food that t_________ good. 3. Her lawyer seemed very __________ and experienced. 4. W__________ you do, don't miss the West Lake Expo of Hangzhou in autumn.5. I d__________ the letter into the mail-box in front of our school just now. 6. My brother finds watching English-language videos frustrating because the    people speak too q_________ and he can't follow it. 7. Putting the burned area under cold running water is really h_________ to you.8. Scientists always encourage everyone to take part in protecting the lakes, rivers, seas and o_________. 9. I'm going to the mall with John by his own car. He has just got his d_________ license. 10. He used to cause lots of problems for h__________ and his family, but now he has changed.